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Nonpoint-Source Water Quality Management Under Uncertainty Through an Inexact Double-Sided Chance-Constrained Model

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  • Yao Ji
  • Guo Huang
  • Wei Sun

Abstract

This study proposed an inexact double-hand-side chance-constrained programming (IDCCP) method for nonpoint-source water quality management within an agricultural system. The IDCCP model can express interval parameters and double-hand-side random variables (e.g. nitrogen requirement of crop and nitrogen content of manure) simultaneously. To handle the double-sided random variables, a linear form of sufficient conditions for the IDCCP was deduced and proved. The performance of IDCCP was testified in the water quality management study case at three individual probabilities (θ i = 0.1, 0.05 and 0.01), and compared with the corresponding ILP model. The results demonstrated that, the net benefit of the agriculture system decrease with a decreasing violating probability (θ i ), an increasing satisfaction of constraint (1-θ i ), or a lower risk of the system. Although it is the first application of the IDCCP method to nonpoint-resource water quality management, the IDCCP could also be applied to other environmental issues under such uncertainties. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • Yao Ji & Guo Huang & Wei Sun, 2015. "Nonpoint-Source Water Quality Management Under Uncertainty Through an Inexact Double-Sided Chance-Constrained Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3079-3094, July.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:9:p:3079-3094
    DOI: 10.1007/s11269-015-0983-1
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    References listed on IDEAS

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    1. Honghai Qi & Mustafa Altinakar, 2011. "Vegetation Buffer Strips Design Using an Optimization Approach for Non-Point Source Pollutant Control of an Agricultural Watershed," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(2), pages 565-578, January.
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    4. Wenyong Wu & Suchuang Di & Qianheng Chen & Shengli Yang & Xingyao Pan & Honglu Liu, 2013. "The Compensation Mechanism and Water Quality Impacts of Agriculture-Urban Water Transfers: A Case Study in China’s Chaobai Watershed," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(1), pages 187-197, January.
    5. Julien, Benoit, 1994. "Water quality management with imprecise information," European Journal of Operational Research, Elsevier, vol. 76(1), pages 15-27, July.
    6. X. Qin & G. Huang, 2009. "An Inexact Chance-constrained Quadratic Programming Model for Stream Water Quality Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(4), pages 661-695, March.
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    1. Iman Fatehi & Bahman Amiri & Afshin Alizadeh & Jan Adamowski, 2015. "Modeling the Relationship between Catchment Attributes and In-stream Water Quality," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5055-5072, November.

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